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Finding the Fourth Proportional to 654.24, 981.30 and 221.34

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Solution

The fourth proportional to 654.24, 981.30 and 221.34 is: 331.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.24 : 981.30 = 221.34 : x
  2. Step 2: Convert to fraction form
    654.24/981.30 = 221.34/x
  3. Step 3: Cross multiply
    654.24x = 981.30 × 221.34
  4. Step 4: Simplify right side
    654.24x = 217,200.94
  5. Step 5: Solve for x
    x = 217,200.94/654.24
  6. Step 6: Final answer
    x = 331.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.